Skip to main content

Analysis of Linear Anisotropic Parameters by Using Hybrid Model in Mueller Optical Coherence Tomography

  • Conference paper
  • First Online:
Advancement of Optical Methods in Experimental Mechanics, Volume 3

Abstract

This study proposes a Mueller optical coherence tomography (OCT) to extract linear birefringence (LB), linear dichroism (LD) parameters in the optically anisotropic material. The full 4 × 4 Mueller matrix of the sample is able to be measured by the Mueller OCT. Hence, a hybrid model based on the Mueller matrix derived by the differential Mueller matrix formalism and both considering the forward and backward measured beams for an anisotropic sample containing LB and LD is developed to obtain corresponding anisotropic parameters in OCT system. In contrast to the conventional polarization-sensitive OCT only for LB measurement and Mueller OCT only for depolarization measurement, the proposed Mueller OCT using the hybrid model provides full range measurements of LB and LD parameters in the optical sample. Furthermore, the proposed model is insensitive to the multiplication order of the constituent basis matrices and provides stable measurements in characterizing composite anisotropic properties. The validity of the method is proved in the quarter wave-plates and testing baked polarizer. As such, inclusive of the ability to get in-depth cross-sectional images of the sample by OCT, the proposed Mueller OCT provides an ideal solution for biological and industrial application in which the precise optical properties of an anisotropic material is required.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Huang HD, Swanson EA, Lin CP, Schuman JS, Sinson WG, Chang W, Hee MR, Flotte T, Gregory K, Puliafito CA, Fujimoto JG (1991) Optical coherence tomography. Science 254:1178–1181

    Article  Google Scholar 

  2. Hee MR, Huang D, Swanson EA, Fujimoto JG (1992) Polarization-sensitive low-coherence reflectometer for birefringence characterization and ranging. J Opt Soc Am B 9:903–908

    Article  Google Scholar 

  3. de Boer JF, Milner TE, van Gemert MJC, Nelson JS (1997) Two-dimensional birefringence imaging in biological tissue by polarization-sensitive optical coherence tomography. Opt Lett 22:934–936

    Article  Google Scholar 

  4. Hitzenberger CK, Goetzinger E, Sticker M, Pircher M, Fercher AF (2001) Measurement and imaging of birefringence and optic axis orientation by phase resolved polarization sensitive optical coherence tomography. Opt Express 9:780–790

    Article  Google Scholar 

  5. Yao G, Wang LV (1999) Two-dimensional depth-resolved Mueller matrix characterization of biological tissue by optical coherence tomography. Opt Lett 24:537–539

    Article  Google Scholar 

  6. Jiao S, Yao G, Wang LV (2000) Depth-resolved two-dimensional stokes vectors of backscattered light and Mueller matrices of biological tissue measured with optical coherence tomography. Appl Opt 39:6318–6324

    Article  Google Scholar 

  7. Ghosh N, Wood MFG, Li SH, Weisel RD, Wilson BC, Li RK, Vitkin IA (2009) Mueller matrix decomposition for polarized light assessment of biological tissues. J Biophoton 2:145–156

    Article  Google Scholar 

  8. Ghosh N, Wood MFG, Vitkin IA (2009) Polarimetry in turbid, birefringent, optically active media: a Monte Carlo study of Mueller matrix decomposition in the backscattering geometry. J Appl Phys 105:102023-1–102023-8

    Google Scholar 

  9. Guo X, Wood MFG, Ghosh N, Vitkin IA (2010) Depolarization of light in turbid media: a scattering event resolved Monte Carlo study. Appl Opt 49:153–162

    Article  Google Scholar 

  10. Ghosh N, Vitkin IA (2011) Tissue polarimetry: concepts, challenges, applications, and outlook. J Biomed Opt 16:110801-1–110801–29

    Article  Google Scholar 

  11. Ossikovski R (2011) Differential matrix formalism for depolarizing anisotropic media. Opt Lett 36:2330–2332

    Article  Google Scholar 

  12. Pham TTH, Lo YL (2012) Extraction of effective parameters of anisotropic optical materials using decoupled analytical method. J Biomed Opt 17:025006-1–025006-17

    Google Scholar 

  13. Ortega-Quijano N, Arce-Diego JL (2011) Depolarizing differential Mueller matrices. Opt Lett 36:2429–2431

    Article  Google Scholar 

  14. Ortega-Quijano N, Arce-Diego JL (2011) Mueller matrix differential decomposition for direction reversal: application to samples measured in reflection and backscattering. Opt Express 19:14348–14353

    Article  Google Scholar 

  15. Liao CC, Lo YL, Yeh CY (2009) Measurements in multiple optical parameters of the birefrigent sample using polarization-sensitive optical coherence tomography. IEEE J Lightwave Technol 27:483–493

    Article  Google Scholar 

  16. Azzam RMA (1978) Propagation of partially polarized light through anisotropic media with or without depolarization: a differential 4 × 4 matrix calculus. J Opt Soc Am 68:1756–1767

    Article  Google Scholar 

  17. Liao CC, Lo YL (2013) Extraction of anisotropic parameters of turbid media using hybrid model comprising differential- and decomposition-based Mueller matrices. Opt Express 21:16831–16853

    Article  Google Scholar 

  18. Michalewicz Z (1994) Genetic algorithm + data structure = evolution programs. Springer, New York

    Google Scholar 

  19. Cheng HC, Lo YL (2005) The synthesis of multiple parameters of arbitrary FBGs via a genetic algorithm, and two thermally modulated intensity. J Lightwave Technol 23:2158–2168

    Article  Google Scholar 

  20. Yu TC, Lo YL (2007) A novel heterodyne polarimeter for the multiple-parameter measurements of twisted nematic liquid crystal cell using a genetic algorithm approach. IEEE J Lightwave Technol 25:946–951

    Article  Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge the financial support provided to this study by the National Science Council of Taiwan under Grant No. 102-2221-E-006 -043 -MY2.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu-Lung Lo .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 The Society for Experimental Mechanics, Inc.

About this paper

Cite this paper

Liao, CC., Lo, YL. (2015). Analysis of Linear Anisotropic Parameters by Using Hybrid Model in Mueller Optical Coherence Tomography. In: Jin, H., Sciammarella, C., Yoshida, S., Lamberti, L. (eds) Advancement of Optical Methods in Experimental Mechanics, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-06986-9_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-06986-9_20

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06985-2

  • Online ISBN: 978-3-319-06986-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics